Maximum-entropy meshfree method for incompressible media problems

Maximum-Entropy Meshfree Method for Compressible and Near-Incompressible Elasticity

Numerical integration errors and volumetric locking in the near-incompressible limit are two outstanding issues in Galerkin-based meshfree computations. In this paper, we present a modified Gaussian integration scheme on background cells for meshfree methods that alleviates errors in numerical integration and ensures patch test satisfaction to machine precision. Secondly, a lockingfree small-st...

A Meshfree Method for Incompressible Fluid Dynamics Problems

We show that meshfree variational methods may be utilized for solution of incompressible fluid dynamics problems using the R-function method (RFM). The proposed approach constructs an approximate solution that satisfies all prescribed boundary conditions exactly using approximate distance fields for portions of the boundary, transfinite interpolation, and computations on a non-conforming spatia...

Maximum-entropy meshfree coordinates in computational mechanics

Maximum-entropy meshfree method for nonlinear static analysis of planar reinforced concrete structures

A meshfree method for nonlinear analysis of two-dimensional reinforced concrete structures subjected to monotonic static loading is presented. The concrete model is implemented in the context of the smeared rotating crack approach. The stress-strain relationship for steel bars accounts for the surrounding concrete bonded to the bar (tension stiffening effect). The principle of virtual work (var...

Maximum Entropy Method for Composition Vector Method